445954080 has 384 divisors, whose sum is σ = 1691746560. Its totient is φ = 97320960.

The previous prime is 445954079. The next prime is 445954123. The reversal of 445954080 is 80459544.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5010676 + ... + 5010764.

It is an arithmetic number, because the mean of its divisors is an integer number (4405590).

Almost surely, 2^445954080 is an apocalyptic number.

445954080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845873280).

445954080 is an abundant number, since it is smaller than the sum of its proper divisors (1245792480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445954080 is a wasteful number, since it uses less digits than its factorization.

445954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 445954080 is about 21117.6248664475. The cubic root of 445954080 is about 764.0059025704.

The spelling of 445954080 in words is "four hundred forty-five million, nine hundred fifty-four thousand, eighty".